This video covers one of the "lost" lessons from my modified Fall 2020 AP Calculus BC course. This is the full lesson (often taught across two days) covering major approaches for evaluating trig integrals with particular attention paid to forms that arise in the course of Trig Substitution.


The major spots are:


9:58 - Identity Inventory
24:00 - Power of sine is odd and positive
33:24 - Power of cosine is odd and positive
41:56 - Sine AND cosine have even powers
47:10 - Power of secant is even and positive
53:25 - Power of tangent is odd and positive
59:53 - Power of tangent is even and positive
68:06 - Integrand is secant, cosecant, tangent, cotangent


The notes, including those extra examples referenced at the end of the video, can be found here: https://drive.google.com/file/d/1mYGHvgx5w8wEU6qdQkPfZ-iXlqySfNKc/view?usp=sharing